ECZ 2018 · GCE Paper 1 — Circle Theorems

In the diagram, RWS is a tangent to the circle at W. The points V, W, X and Y are on the circle such that XŶW = 44°, VŴY = 54° and SŴV = 39°. Calculate RŴX.

Diagram for ECZ 2018 · GCE Paper 1
  • A. 39°
  • B. 54°
  • C. 43°
  • D. 44°

Verified working — step 1

The angle between a tangent and a chord equals the angle in the alternate segment. Chord WX makes angle RŴX with the tangent, and the angle subtended by WX in the alternate segment is XŶW = 44°. So RŴX = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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